An electrical technician is verifying if two conduits, modeled by the lines ${}5x + 4y = 1$ and ${}4x + 5y = 3$, are perpendicular. Match each part of the verification process with its correct value or description.

A structural inspector is verifying the angle between two support cables modeled by the equations ${}5x + 4y = 1$ and ${}4x + 5y = 3$. Arrange the steps of the verification process in the correct order to conclude that these cables are NOT perpendicular.

A landscape architect is designing two walking paths modeled by the linear equations ${}5x + 4y = 1$ and ${}4x + 5y = 3$. After determining that the slopes of these paths are $-\frac{5}{4}$ and -rac{4}{5}, the architect verifies if the paths meet at a right angle. Which of the following statements correctly recalls the product of these slopes and explains why the paths are NOT perpendicular?

A design engineer is verifying the alignment of two layout lines modeled by the equations ${}5x + 4y = 1$ and ${}4x + 5y = 3$. The engineer determines that the product of the slopes of these two lines is 1, which confirms that the lines are NOT perpendicular.

Recalling Slopes and Perpendicularity Rules for Linear Boundaries

A GIS technician is verifying two property boundary lines modeled by the equations ${}5x + 4y = 1$ and ${}4x + 5y = 3$. The slopes of these lines are $-\frac{5}{4}$ and $-\frac{4}{5}$, respectively. The technician recalls that to test for perpendicularity, the product of the slopes must be exactly -1. When multiplying these two specific slopes together, the product is ____, confirming that the boundaries are NOT perpendicular.

Recalling Perpendicular Line Slopes for Utility Blueprint Verification